共查询到20条相似文献,搜索用时 31 毫秒
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Raphaël Achet 《Journal of Pure and Applied Algebra》2017,221(11):2838-2860
We obtain an explicit upper bound on the torsion of the Picard group of the forms of and their regular completions. We also obtain a sufficient condition for the Picard group of the forms of to be nontrivial and we give examples of nontrivial forms of with trivial Picard groups. 相似文献
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Chris Le Sueur 《Annals of Pure and Applied Logic》2018,169(1):83-115
In this paper we develop a technique for proving determinacy of classes of the form (a refinement of the difference hierarchy on lying between and ) from weak principles, establishing upper bounds for the determinacy-strength of the classes for all computable α and of . This bridges the gap between previously known hypotheses implying determinacy in this region. 相似文献
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Neel Patel 《Journal of Differential Equations》2018,264(3):1841-1885
We consider continuation criteria for the three-dimensional relativistic Vlasov–Maxwell system. When the particle density, , is compactly supported at , we prove , where and is arbitrarily small, is a continuation criteria. Our continuation criteria is an improvement in the range to the previously best known criteria due to Kunze [7]. We also consider continuation criteria when has noncompact support. In this regime, Luk–Strain [9] proved that is a continuation criteria for . We improve this result to . Finally, we build on another result by Luk–Strain [8]. The authors proved boundedness of momentum support on a fixed two-dimensional plane is a sufficient continuation criteria. We prove the same result even if the plane varies continuously in time. 相似文献
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Luchezar L. Avramov 《Journal of Pure and Applied Algebra》2012,216(11):2489-2506
The generating series of the Bass numbers of local rings with residue field are computed in closed rational form, in case the embedding dimension of and its depth satisfy . For each such it is proved that there is a real number , such that holds for all , except for in two explicitly described cases, where . New restrictions are obtained on the multiplicative structures of minimal free resolutions of length 3 over regular local rings. 相似文献
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Let and be a sufficiently large real number. In this paper, we prove that, for almost all , the Diophantine inequality is solvable in primes . Moreover, we also investigate the problem of six primes and prove that the Diophantine inequality is solvable in primes for sufficiently large real number . 相似文献
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We study the Ramsey number for the 3-uniform loose path of length three, , and colors. We show that , for some explicit constant . 相似文献
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Using a modification of the invariant Jensen forcing of [11], we define a model of ZFC, in which, for a given , there exists a lightface -set of reals, which is a -equivalence class, hence a countable set, and which does not contain any OD element, while every non-empty countable -set of reals is constructible, hence contains only OD reals. 相似文献